From befd23f2e583d82c064ec6c52544faedbb325cc2 Mon Sep 17 00:00:00 2001 From: Alfred Zong Date: Thu, 7 May 2020 20:21:47 -0400 Subject: [PATCH 1/5] Updated compile.py to support GIF picture format. --- compile.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/compile.py b/compile.py index 34bd9d6..0fe7c9d 100644 --- a/compile.py +++ b/compile.py @@ -10,7 +10,7 @@ TEMPLATE_TEXT = open('template.html').read() -# supported image types: jpg, png +# supported image types: jpg, png, svg, gif class Compiler(object): @@ -85,6 +85,7 @@ def is_img(self, file_type): if file_type == 'png': return True if file_type == 'jpg': return True if file_type == 'svg': return True + if file_type == 'gif': return True return False def load_part(self, dir_name, file_name): From 2caa784b8a82761532caa68714fa65864c5aa7fc Mon Sep 17 00:00:00 2001 From: Alfred Zong Date: Thu, 7 May 2020 20:23:06 -0400 Subject: [PATCH 2/5] Added Harmonograph animation example --- en/harmonograph/eqn.png | Bin 0 -> 150225 bytes en/harmonograph/harmonograph.gif | Bin 0 -> 2577850 bytes en/harmonograph/harmonograph.png | Bin 0 -> 925773 bytes en/harmonograph/index.html | 352 +++++++++++++++++++++++++ examples/harmonograph/credit.txt | 1 + examples/harmonograph/eqn.png | Bin 0 -> 150225 bytes examples/harmonograph/harmonograph.gif | Bin 0 -> 2577850 bytes examples/harmonograph/harmonograph.png | Bin 0 -> 925773 bytes examples/harmonograph/index.html | 55 ++++ examples/harmonograph/soln.py | 217 +++++++++++++++ examples/harmonograph/tags.txt | 7 + examples/harmonograph/title.txt | 1 + 12 files changed, 633 insertions(+) create mode 100644 en/harmonograph/eqn.png create mode 100644 en/harmonograph/harmonograph.gif create mode 100644 en/harmonograph/harmonograph.png create mode 100644 en/harmonograph/index.html create mode 100644 examples/harmonograph/credit.txt create mode 100644 examples/harmonograph/eqn.png create mode 100644 examples/harmonograph/harmonograph.gif create mode 100644 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+
+
+

Harmonograph +

+

Problem written by Alfred, first proposed by H. Blackburn and many others +

+
+

+ A harmonograph is a mechanical apparatus that draws beautiful geometric shapes by suspending a pen from pendulums. A harmonograph in-making is shown below (your browser needs to support .gif to see the animation). +

+

+
+ +
+

+

+
+ +
+

+

+ Despite the complex appearance, points on a harmonograph follow a simple equation. If we use (x, y) to denote a point on a harmonograph at time t, then (x, y) satisfies +

+

+
+ +
+

+ +

+ Here, A denotes the amplitude of the pendulum swing, f is the frequency of the periodic motion. φ is the starting phase of the oscillation, and it should be in the range of [-π, π). Lastly, d is a positive number that represents the damping. Because of dissipation, the pendulum cannot swing forever, so a large d will make the pendulum stop earlier. All of these parameters can be different for the x and y directions, and some example harmonographs are shown above with these parameters labeled. +

+

+ Your task is to simulate the drawing of a harmonograph, and your final product will look something like the animation above. You will need to use the tkinter module covered in Lecture 10 and 11, and you can assume that a canvas object has been created and is ready to use. +

+

+ The strategy to create the animation is to draw one line segment at a time, using the following function we learned in lecture: +

+

+

canvas.create_line(x0, y0, x1, y1)
+

+

+ which creates a line between (x0, y0) and (x1, y1). Therefore, in your program, you need to keep track of the current position of the pen as well as its previous position. To code up the harmonograph formula above, you may want to import math and use the math.sin and math.exp functions. +

+

+ Helpful Tip: During code development, you're encouraged to use the harmonograph parameters (amplitude, frequency, phase, damping) provided in the examples above. After the animation is working, try to play with these parameters to obtain your own enchanting harmonographs! +

+

+ Extension: You can let the pen color evolve over time! To change the line color, you can add one more argument to the create_line function: +

+

+

canvas.create_line(x0, y0, x1, y1, fill=color)
+

+

+ where color is a string that specifies the color. By default, it is "black" and you can choose your favorite color, such as "red", "blue", etc. To evolve the color smoothly, you're provided with a function (see solution) +

+

+

get_color(index, colormap)
+

+

+ which returns a string that can be passed into the create_line function. Note that get_color takes in a nonnegative integer index that denotes how many line segments have been drawn, as well as a string colormap that represents the color palette we want to use. In the solution, the colormap variable can be either "twilight" or "hsv", but feel free to add your favorite color palette as well. +

+

Solution

+

+ +

+
+
import tkinter
+import time
+import math
+
+"""
+Parameters for the canvas and its update
+"""
+CANVAS_WIDTH = 600      # Width of drawing canvas in pixels
+CANVAS_HEIGHT = 600     # Height of drawing canvas in pixels
+PAUSE = 1/100.0         # Pause between canvas update (seconds)
+
+"""
+Parameters for the harmonograph. Feel free
+to change them to get your own beautiful graph!
+"""
+AMPLITUDE_X = (CANVAS_WIDTH - 1) // 2
+AMPLITUDE_Y = (CANVAS_HEIGHT - 1) // 2
+FREQUENCY_X = 0.0014509
+FREQUENCY_Y = 0.0014401
+PHASE_X = 0.0
+PHASE_Y = 0.5
+DAMP_X = 0.0000097
+DAMP_Y = 0.000011
+
+DRAWING_SPEED = 10  # Controls the apparent speed of drawing
+
+"""
+Parameters to control an evolving color during
+the drawing. The current code supports two color 
+schemes: 'hsv' and 'twilight'. Feel free to include
+your favorite palette.
+"""
+COLORMAP = 'twilight'
+COLOR_CHANGE_SPEED = DRAWING_SPEED * 1E-3 # Controls how fast color evolves
+
+
+def main():
+    """
+    Draw a harmonograph on a Tkinter canvas by 
+    drawing successive line segments. 
+    """
+    canvas = make_canvas(CANVAS_WIDTH, CANVAS_HEIGHT, 'Harmonograph')
+
+    # Coordinates of the center
+    xc = CANVAS_WIDTH // 2
+    yc = CANVAS_HEIGHT // 2
+
+    counter = 0
+    while True:
+        # Calculate current coordinates
+        t = counter * DRAWING_SPEED
+        x = xc + sinusoid(t, AMPLITUDE_X, FREQUENCY_X, PHASE_X, DAMP_X)
+        y = yc + sinusoid(t, AMPLITUDE_Y, FREQUENCY_Y, PHASE_Y, DAMP_Y)
+        
+        # Draw a line segment if we have at least two points
+        # Use color = 'red', for example, for a fixed color
+        if counter > 0:
+            color = get_color(counter, COLORMAP)            
+            canvas.create_line(x_prev, y_prev, x, y, fill=color)
+
+        # Coordinates of the previous point
+        x_prev = x
+        y_prev = y
+
+        counter += 1
+        canvas.update()
+        time.sleep(PAUSE)
+
+
+def sinusoid(time, amplitude, frequency, phase, damp):
+    """
+    Returns the result of a damped sinusoidal function
+    for a given time
+    """
+    return amplitude * math.sin(2 * math.pi * frequency * time + phase) \
+           * math.exp(-time * damp) 
+
+
+########################################
+##### The following functions are  #####
+##### provided. Do not modify them #####
+########################################
+
+def make_canvas(width, height, title):
+    """
+    Creates and returns a drawing canvas
+    of the given int size with a blue border,
+    ready for drawing.
+    """
+    top = tkinter.Tk()
+    top.minsize(width=width, height=height)
+    top.title(title)
+    canvas = tkinter.Canvas(top, width=width + 1, height=height + 1)
+    canvas.pack()
+    return canvas
+
+
+def get_color(index, colormap):
+    """
+    Returns a string in the hex format #rrggbb (8 bits per color)
+    that corresponds to the color at index position. colormap is 
+    a string that contains the name of the colormap to be used.
+    Currently only supports 'hsv' and 'twilight'.
+    """
+    index = round(index * COLOR_CHANGE_SPEED)
+    colormap = colormap.lower()
+    if colormap == 'twilight':
+        return TWILIGHT[index % 256]
+    elif colormap == 'hsv':
+        return HSV[index % 256]
+    raise ValueError("Invalid colormap! Only supports 'hsv' and 'twilight'.")
+
+
+"""
+Color map for twilight and hsv, exported from the colormap in matplotlib
+using the following snippet. You can create your own by selecting other
+palettes available in matplotlib, or using the matplotlib module directly.
+
+.. code-block:: python
+    
+    from pylab import *
+
+    cmap = cm.get_cmap('hsv', 256)
+    for i in range(cmap.N):
+        rgb = cmap(i)[:3]
+        print(matplotlib.colors.rgb2hex(rgb))
+"""
+TWILIGHT = ["#e2d9e2", "#e1d9e2", "#e0d9e2", "#ded9e1", "#ddd9e0", "#dcd9df", 
+            "#dad8df", "#d8d8de", "#d6d7dd", "#d4d6dc", "#d2d5db", "#d0d4d9", 
+            "#cdd3d8", "#cbd2d7", "#c8d0d6", "#c5cfd5", "#c2ced4", "#bfccd3", 
+            "#bccbd1", "#b9c9d0", "#b6c8cf", "#b3c6ce", "#b0c5cd", "#adc3cd", 
+            "#aac2cc", "#a7c0cb", "#a4beca", "#a1bdc9", "#9ebbc9", "#9cb9c8", 
+            "#99b8c8", "#96b6c7", "#93b4c6", "#92b3c6", "#8eb1c5", "#8cafc5", 
+            "#89adc5", "#88acc4", "#85a9c4", "#82a7c3", "#80a5c3", "#7fa5c3", 
+            "#7ca2c2", "#7aa0c2", "#789ec2", "#779dc2", "#759ac1", "#7398c1", 
+            "#7196c1", "#7195c0", "#6e92c0", "#6d90c0", "#6c8ebf", "#6b8dbf", 
+            "#698abf", "#6888be", "#6786be", "#6785be", "#6682bd", "#657fbd", 
+            "#647dbc", "#647cbc", "#6379bb", "#6277bb", "#6275ba", "#6172ba", 
+            "#6171b9", "#606eb8", "#606cb8", "#6069b7", "#6067b6", "#5f65b5", 
+            "#5f62b4", "#5f60b4", "#5f5fb3", "#5f5bb2", "#5f59b1", "#5f57b0", 
+            "#5e54ae", "#5e52ad", "#5e4fac", "#5e4dab", "#5e4caa", "#5e48a8", 
+            "#5e46a6", "#5e43a5", "#5d41a3", "#5d3ea1", "#5d3ca0", "#5d3a9e", 
+            "#5c389d", "#5c359a", "#5b3298", "#5b3095", "#5a2e93", "#5a2b90", 
+            "#59298e", "#58278b", "#58268a", "#572385", "#562182", "#551f7f", 
+            "#531e7c", "#521c79", "#511a75", "#4f1972", "#4f1970", "#4c176b", 
+            "#4b1668", "#491564", "#471461", "#46145e", "#44135a", "#421257", 
+            "#411256", "#3f1251", "#3d114e", "#3c114b", "#3a1149", "#391146", 
+            "#371144", "#361142", "#361141", "#34113e", "#33113c", "#32123a", 
+            "#311339", "#301437", "#301437", "#311337", "#331237", "#341238", 
+            "#341238", "#361139", "#381139", "#3a113a", "#3b113b", "#3d113c", 
+            "#3f123d", "#41123d", "#43123e", "#461240", "#481341", "#4a1342", 
+            "#4d1443", "#4f1444", "#521545", "#541546", "#561546", "#591648", 
+            "#5c1749", "#5f174a", "#61184b", "#64194b", "#67194c", "#691a4d", 
+            "#6c1b4e", "#6f1c4e", "#711d4f", "#741e4f", "#761f4f", "#792050", 
+            "#7b2150", "#7e2250", "#7f2350", "#832550", "#852650", "#872750", 
+            "#8a2950", "#8c2a50", "#8e2c50", "#902e50", "#922f50", "#943150", 
+            "#963350", "#983550", "#9a3750", "#9c3950", "#9e3b50", "#a03d50", 
+            "#a03e50", "#a34150", "#a54350", "#a64550", "#a84750", "#a94950", 
+            "#ab4b50", "#ac4d51", "#ae5051", "#af5251", "#b15452", "#b25652", 
+            "#b35953", "#b55b53", "#b65d54", "#b75f55", "#b86155", "#b96456", 
+            "#ba6657", "#bb6958", "#bc6b59", "#bd6e5a", "#be705b", "#bf725d", 
+            "#c0755e", "#c1775f", "#c27a61", "#c27c63", "#c37f64", "#c48166", 
+            "#c58468", "#c5866a", "#c6876b", "#c68b6e", "#c78e71", "#c89073", 
+            "#c89275", "#c99578", "#c9977b", "#ca9a7d", "#ca9c80", "#cb9f83", 
+            "#cca186", "#cca389", "#cda68c", "#cda88f", "#ceab92", "#cfad96", 
+            "#cfae97", "#d0b29c", "#d1b4a0", "#d1b6a3", "#d2b8a7", "#d3baaa", 
+            "#d4bdad", "#d5bfb1", "#d6c1b4", "#d7c3b8", "#d8c5bb", "#d8c7be", 
+            "#d9c9c2", "#dacbc5", "#dbccc8", "#dccecb", "#dccfcd", "#ddd1d1", 
+            "#ded3d3", "#dfd4d6", "#dfd5d8", "#e0d6da", "#e0d7db", "#e1d8dd", 
+            "#e1d8df", "#e2d9e0", "#e2d9e1", "#e2d9e2"]
+
+HSV =      ["#ff0000", "#ff0600", "#ff0c00", "#ff1200", "#ff1800", "#ff1e00", 
+            "#ff2300", "#ff2900", "#ff2f00", "#ff3500", "#ff3b00", "#ff4100", 
+            "#ff4700", "#ff4d00", "#ff5300", "#ff5900", "#ff5f00", "#ff6400", 
+            "#ff6a00", "#ff7000", "#ff7600", "#ff7c00", "#ff8200", "#ff8800", 
+            "#ff8e00", "#ff9400", "#ff9a00", "#ff9f00", "#ffa500", "#ffab00", 
+            "#ffb100", "#ffb700", "#ffbd00", "#ffc300", "#ffc900", "#ffcf00", 
+            "#ffd500", "#ffdb00", "#ffe000", "#ffe600", "#ffec00", "#fef100", 
+            "#fcf500", "#faf900", "#f8fd00", "#f4ff00", "#eeff00", "#e8ff00", 
+            "#e2ff00", "#ddff00", "#d7ff00", "#d1ff00", "#cbff00", "#c5ff00", 
+            "#bfff00", "#b9ff00", "#b3ff00", "#adff00", "#a7ff00", "#a2ff00", 
+            "#9cff00", "#96ff00", "#90ff00", "#8aff00", "#84ff00", "#7eff00", 
+            "#78ff00", "#72ff00", "#6cff00", "#66ff00", "#61ff00", "#5bff00", 
+            "#55ff00", "#4fff00", "#49ff00", "#43ff00", "#3dff00", "#37ff00", 
+            "#31ff00", "#2bff00", "#25ff00", "#20ff00", "#1aff00", "#14ff00", 
+            "#0eff00", "#08ff00", "#06ff04", "#04ff08", "#02ff0c", "#00ff10", 
+            "#00ff16", "#00ff1b", "#00ff21", "#00ff27", "#00ff2d", "#00ff33", 
+            "#00ff39", "#00ff3f", "#00ff45", "#00ff4b", "#00ff51", "#00ff57", 
+            "#00ff5c", "#00ff62", "#00ff68", "#00ff6e", "#00ff74", "#00ff7a", 
+            "#00ff80", "#00ff86", "#00ff8c", "#00ff92", "#00ff97", "#00ff9d", 
+            "#00ffa3", "#00ffa9", "#00ffaf", "#00ffb5", "#00ffbb", "#00ffc1", 
+            "#00ffc7", "#00ffcd", "#00ffd3", "#00ffd8", "#00ffde", "#00ffe4", 
+            "#00ffea", "#00fff0", "#00fff6", "#00fffc", "#00fcff", "#00f6ff", 
+            "#00f0ff", "#00eaff", "#00e5ff", "#00dfff", "#00d9ff", "#00d3ff", 
+            "#00cdff", "#00c7ff", "#00c1ff", "#00bbff", "#00b5ff", "#00afff", 
+            "#00aaff", "#00a4ff", "#009eff", "#0098ff", "#0092ff", "#008cff", 
+            "#0086ff", "#0080ff", "#007aff", "#0074ff", "#006eff", "#0069ff", 
+            "#0063ff", "#005dff", "#0057ff", "#0051ff", "#004bff", "#0045ff", 
+            "#003fff", "#0039ff", "#0033ff", "#002dff", "#0028ff", "#0022ff", 
+            "#001cff", "#0016ff", "#0010ff", "#020cff", "#0408ff", "#0604ff", 
+            "#0800ff", "#0e00ff", "#1300ff", "#1900ff", "#1f00ff", "#2500ff", 
+            "#2b00ff", "#3100ff", "#3700ff", "#3d00ff", "#4300ff", "#4900ff", 
+            "#4f00ff", "#5400ff", "#5a00ff", "#6000ff", "#6600ff", "#6c00ff", 
+            "#7200ff", "#7800ff", "#7e00ff", "#8400ff", "#8a00ff", "#9000ff", 
+            "#9500ff", "#9b00ff", "#a100ff", "#a700ff", "#ad00ff", "#b300ff", 
+            "#b900ff", "#bf00ff", "#c500ff", "#cb00ff", "#d000ff", "#d600ff", 
+            "#dc00ff", "#e200ff", "#e800ff", "#ee00ff", "#f400ff", "#f800fd", 
+            "#fa00f9", "#fc00f5", "#fe00f1", "#ff00ed", "#ff00e7", "#ff00e1", 
+            "#ff00db", "#ff00d5", "#ff00cf", "#ff00c9", "#ff00c3", "#ff00bd", 
+            "#ff00b7", "#ff00b1", "#ff00ac", "#ff00a6", "#ff00a0", "#ff009a", 
+            "#ff0094", "#ff008e", "#ff0088", "#ff0082", "#ff007c", "#ff0076", 
+            "#ff0071", "#ff006b", "#ff0065", "#ff005f", "#ff0059", "#ff0053", 
+            "#ff004d", "#ff0047", "#ff0041", "#ff003b", "#ff0035", "#ff0030", 
+            "#ff002a", "#ff0024", "#ff001e", "#ff0018"]
+
+if __name__ == '__main__':
+    main()
+
+ + + + +
+
+
+
+ + diff --git a/examples/harmonograph/credit.txt b/examples/harmonograph/credit.txt new file mode 100644 index 0000000..026752e --- /dev/null +++ b/examples/harmonograph/credit.txt @@ -0,0 +1 @@ +Problem written by Alfred, first proposed by H. 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+

+
+ +
+

+

+
+ +
+

+

+ Despite the complex appearance, points on a harmonograph follow a simple equation. If we use (x, y) to denote a point on a harmonograph at time t, then (x, y) satisfies +

+

+
+ +
+

+ +

+ Here, A denotes the amplitude of the pendulum swing, f is the frequency of the periodic motion. φ is the starting phase of the oscillation, and it should be in the range of [-π, π). Lastly, d is a positive number that represents the damping. Because of dissipation, the pendulum cannot swing forever, so a large d will make the pendulum stop earlier. All of these parameters can be different for the x and y directions, and some example harmonographs are shown above with these parameters labeled. +

+

+ Your task is to simulate the drawing of a harmonograph, and your final product will look something like the animation above. You will need to use the tkinter module covered in Lecture 10 and 11, and you can assume that a canvas object has been created and is ready to use. +

+

+ The strategy to create the animation is to draw one line segment at a time, using the following function we learned in lecture: +

+

+

canvas.create_line(x0, y0, x1, y1)
+

+

+ which creates a line between (x0, y0) and (x1, y1). Therefore, in your program, you need to keep track of the current position of the pen as well as its previous position. To code up the harmonograph formula above, you may want to import math and use the math.sin and math.exp functions. +

+

+ Helpful Tip: During code development, you're encouraged to use the harmonograph parameters (amplitude, frequency, phase, damping) provided in the examples above. After the animation is working, try to play with these parameters to obtain your own enchanting harmonographs! +

+

+ Extension: You can let the pen color evolve over time! To change the line color, you can add one more argument to the create_line function: +

+

+

canvas.create_line(x0, y0, x1, y1, fill=color)
+

+

+ where color is a string that specifies the color. By default, it is "black" and you can choose your favorite color, such as "red", "blue", etc. To evolve the color smoothly, you're provided with a function (see solution) +

+

+

get_color(index, colormap)
+

+

+ which returns a string that can be passed into the create_line function. Note that get_color takes in a nonnegative integer index that denotes how many line segments have been drawn, as well as a string colormap that represents the color palette we want to use. In the solution, the colormap variable can be either "twilight" or "hsv", but feel free to add your favorite color palette as well. +

\ No newline at end of file diff --git a/examples/harmonograph/soln.py b/examples/harmonograph/soln.py new file mode 100644 index 0000000..a8c0015 --- /dev/null +++ b/examples/harmonograph/soln.py @@ -0,0 +1,217 @@ +import tkinter +import time +import math + +""" +Parameters for the canvas and its update +""" +CANVAS_WIDTH = 600 # Width of drawing canvas in pixels +CANVAS_HEIGHT = 600 # Height of drawing canvas in pixels +PAUSE = 1/100.0 # Pause between canvas update (seconds) + +""" +Parameters for the harmonograph. Feel free +to change them to get your own beautiful graph! +""" +AMPLITUDE_X = (CANVAS_WIDTH - 1) // 2 +AMPLITUDE_Y = (CANVAS_HEIGHT - 1) // 2 +FREQUENCY_X = 0.0014509 +FREQUENCY_Y = 0.0014401 +PHASE_X = 0.0 +PHASE_Y = 0.5 +DAMP_X = 0.0000097 +DAMP_Y = 0.000011 + +DRAWING_SPEED = 10 # Controls the apparent speed of drawing + +""" +Parameters to control an evolving color during +the drawing. The current code supports two color +schemes: 'hsv' and 'twilight'. Feel free to include +your favorite palette. +""" +COLORMAP = 'twilight' +COLOR_CHANGE_SPEED = DRAWING_SPEED * 1E-3 # Controls how fast color evolves + + +def main(): + """ + Draw a harmonograph on a Tkinter canvas by + drawing successive line segments. + """ + canvas = make_canvas(CANVAS_WIDTH, CANVAS_HEIGHT, 'Harmonograph') + + # Coordinates of the center + xc = CANVAS_WIDTH // 2 + yc = CANVAS_HEIGHT // 2 + + counter = 0 + while True: + # Calculate current coordinates + t = counter * DRAWING_SPEED + x = xc + sinusoid(t, AMPLITUDE_X, FREQUENCY_X, PHASE_X, DAMP_X) + y = yc + sinusoid(t, AMPLITUDE_Y, FREQUENCY_Y, PHASE_Y, DAMP_Y) + + # Draw a line segment if we have at least two points + # Use color = 'red', for example, for a fixed color + if counter > 0: + color = get_color(counter, COLORMAP) + canvas.create_line(x_prev, y_prev, x, y, fill=color) + + # Coordinates of the previous point + x_prev = x + y_prev = y + + counter += 1 + canvas.update() + time.sleep(PAUSE) + + +def sinusoid(time, amplitude, frequency, phase, damp): + """ + Returns the result of a damped sinusoidal function + for a given time + """ + return amplitude * math.sin(2 * math.pi * frequency * time + phase) \ + * math.exp(-time * damp) + + +######################################## +##### The following functions are ##### +##### provided. Do not modify them ##### +######################################## + +def make_canvas(width, height, title): + """ + Creates and returns a drawing canvas + of the given int size with a blue border, + ready for drawing. + """ + top = tkinter.Tk() + top.minsize(width=width, height=height) + top.title(title) + canvas = tkinter.Canvas(top, width=width + 1, height=height + 1) + canvas.pack() + return canvas + + +def get_color(index, colormap): + """ + Returns a string in the hex format #rrggbb (8 bits per color) + that corresponds to the color at index position. colormap is + a string that contains the name of the colormap to be used. + Currently only supports 'hsv' and 'twilight'. + """ + index = round(index * COLOR_CHANGE_SPEED) + colormap = colormap.lower() + if colormap == 'twilight': + return TWILIGHT[index % 256] + elif colormap == 'hsv': + return HSV[index % 256] + raise ValueError("Invalid colormap! Only supports 'hsv' and 'twilight'.") + + +""" +Color map for twilight and hsv, exported from the colormap in matplotlib +using the following snippet. You can create your own by selecting other +palettes available in matplotlib, or using the matplotlib module directly. + +.. code-block:: python + + from pylab import * + + cmap = cm.get_cmap('hsv', 256) + for i in range(cmap.N): + rgb = cmap(i)[:3] + print(matplotlib.colors.rgb2hex(rgb)) +""" +TWILIGHT = ["#e2d9e2", "#e1d9e2", "#e0d9e2", "#ded9e1", "#ddd9e0", "#dcd9df", + "#dad8df", "#d8d8de", "#d6d7dd", "#d4d6dc", "#d2d5db", "#d0d4d9", + "#cdd3d8", "#cbd2d7", "#c8d0d6", "#c5cfd5", "#c2ced4", "#bfccd3", + "#bccbd1", "#b9c9d0", "#b6c8cf", "#b3c6ce", "#b0c5cd", "#adc3cd", + "#aac2cc", "#a7c0cb", "#a4beca", "#a1bdc9", "#9ebbc9", "#9cb9c8", + "#99b8c8", "#96b6c7", "#93b4c6", "#92b3c6", "#8eb1c5", "#8cafc5", + "#89adc5", "#88acc4", "#85a9c4", "#82a7c3", "#80a5c3", "#7fa5c3", + "#7ca2c2", "#7aa0c2", "#789ec2", "#779dc2", "#759ac1", "#7398c1", + "#7196c1", "#7195c0", "#6e92c0", "#6d90c0", "#6c8ebf", "#6b8dbf", + "#698abf", "#6888be", "#6786be", "#6785be", "#6682bd", "#657fbd", + "#647dbc", "#647cbc", "#6379bb", "#6277bb", "#6275ba", "#6172ba", + "#6171b9", "#606eb8", "#606cb8", "#6069b7", "#6067b6", "#5f65b5", + "#5f62b4", "#5f60b4", "#5f5fb3", "#5f5bb2", "#5f59b1", "#5f57b0", + "#5e54ae", "#5e52ad", "#5e4fac", "#5e4dab", "#5e4caa", "#5e48a8", + "#5e46a6", "#5e43a5", "#5d41a3", "#5d3ea1", "#5d3ca0", "#5d3a9e", + "#5c389d", "#5c359a", "#5b3298", "#5b3095", "#5a2e93", "#5a2b90", + "#59298e", "#58278b", "#58268a", "#572385", "#562182", "#551f7f", + "#531e7c", "#521c79", "#511a75", "#4f1972", "#4f1970", "#4c176b", + "#4b1668", "#491564", "#471461", "#46145e", "#44135a", "#421257", + "#411256", "#3f1251", "#3d114e", "#3c114b", "#3a1149", "#391146", + "#371144", "#361142", "#361141", "#34113e", "#33113c", "#32123a", + "#311339", "#301437", "#301437", "#311337", "#331237", "#341238", + "#341238", "#361139", "#381139", "#3a113a", "#3b113b", "#3d113c", + "#3f123d", "#41123d", "#43123e", "#461240", "#481341", "#4a1342", + "#4d1443", "#4f1444", "#521545", "#541546", "#561546", "#591648", + "#5c1749", "#5f174a", "#61184b", "#64194b", "#67194c", "#691a4d", + "#6c1b4e", "#6f1c4e", "#711d4f", "#741e4f", "#761f4f", "#792050", + "#7b2150", "#7e2250", "#7f2350", "#832550", "#852650", "#872750", + "#8a2950", "#8c2a50", "#8e2c50", "#902e50", "#922f50", "#943150", + "#963350", "#983550", "#9a3750", "#9c3950", "#9e3b50", "#a03d50", + "#a03e50", "#a34150", "#a54350", "#a64550", "#a84750", "#a94950", + "#ab4b50", "#ac4d51", "#ae5051", "#af5251", "#b15452", "#b25652", + "#b35953", "#b55b53", "#b65d54", "#b75f55", "#b86155", "#b96456", + "#ba6657", "#bb6958", "#bc6b59", "#bd6e5a", "#be705b", "#bf725d", + "#c0755e", "#c1775f", "#c27a61", "#c27c63", "#c37f64", "#c48166", + "#c58468", "#c5866a", "#c6876b", "#c68b6e", "#c78e71", "#c89073", + "#c89275", "#c99578", "#c9977b", "#ca9a7d", "#ca9c80", "#cb9f83", + "#cca186", "#cca389", "#cda68c", "#cda88f", "#ceab92", "#cfad96", + "#cfae97", "#d0b29c", "#d1b4a0", "#d1b6a3", "#d2b8a7", "#d3baaa", + "#d4bdad", "#d5bfb1", "#d6c1b4", "#d7c3b8", "#d8c5bb", "#d8c7be", + "#d9c9c2", "#dacbc5", "#dbccc8", "#dccecb", "#dccfcd", "#ddd1d1", + "#ded3d3", "#dfd4d6", "#dfd5d8", "#e0d6da", "#e0d7db", "#e1d8dd", + "#e1d8df", "#e2d9e0", "#e2d9e1", "#e2d9e2"] + +HSV = ["#ff0000", "#ff0600", "#ff0c00", "#ff1200", "#ff1800", "#ff1e00", + "#ff2300", "#ff2900", "#ff2f00", "#ff3500", "#ff3b00", "#ff4100", + "#ff4700", "#ff4d00", "#ff5300", "#ff5900", "#ff5f00", "#ff6400", + "#ff6a00", "#ff7000", "#ff7600", "#ff7c00", "#ff8200", "#ff8800", + "#ff8e00", "#ff9400", "#ff9a00", "#ff9f00", "#ffa500", "#ffab00", + "#ffb100", "#ffb700", "#ffbd00", "#ffc300", "#ffc900", "#ffcf00", + "#ffd500", "#ffdb00", "#ffe000", "#ffe600", "#ffec00", "#fef100", + "#fcf500", "#faf900", "#f8fd00", "#f4ff00", "#eeff00", "#e8ff00", + "#e2ff00", "#ddff00", "#d7ff00", "#d1ff00", "#cbff00", "#c5ff00", + "#bfff00", "#b9ff00", "#b3ff00", "#adff00", "#a7ff00", "#a2ff00", + "#9cff00", "#96ff00", "#90ff00", "#8aff00", "#84ff00", "#7eff00", + "#78ff00", "#72ff00", "#6cff00", "#66ff00", "#61ff00", "#5bff00", + "#55ff00", "#4fff00", "#49ff00", "#43ff00", "#3dff00", "#37ff00", + "#31ff00", "#2bff00", "#25ff00", "#20ff00", "#1aff00", "#14ff00", + "#0eff00", "#08ff00", "#06ff04", "#04ff08", "#02ff0c", "#00ff10", + "#00ff16", "#00ff1b", "#00ff21", "#00ff27", "#00ff2d", "#00ff33", + "#00ff39", "#00ff3f", "#00ff45", "#00ff4b", "#00ff51", "#00ff57", + "#00ff5c", "#00ff62", "#00ff68", "#00ff6e", "#00ff74", "#00ff7a", + "#00ff80", "#00ff86", "#00ff8c", "#00ff92", "#00ff97", "#00ff9d", + "#00ffa3", "#00ffa9", "#00ffaf", "#00ffb5", "#00ffbb", "#00ffc1", + "#00ffc7", "#00ffcd", "#00ffd3", "#00ffd8", "#00ffde", "#00ffe4", + "#00ffea", "#00fff0", "#00fff6", "#00fffc", "#00fcff", "#00f6ff", + "#00f0ff", "#00eaff", "#00e5ff", "#00dfff", "#00d9ff", "#00d3ff", + "#00cdff", "#00c7ff", "#00c1ff", "#00bbff", "#00b5ff", "#00afff", + "#00aaff", "#00a4ff", "#009eff", "#0098ff", "#0092ff", "#008cff", + "#0086ff", "#0080ff", "#007aff", "#0074ff", "#006eff", "#0069ff", + "#0063ff", "#005dff", "#0057ff", "#0051ff", "#004bff", "#0045ff", + "#003fff", "#0039ff", "#0033ff", "#002dff", "#0028ff", "#0022ff", + "#001cff", "#0016ff", "#0010ff", "#020cff", "#0408ff", "#0604ff", + "#0800ff", "#0e00ff", "#1300ff", "#1900ff", "#1f00ff", "#2500ff", + "#2b00ff", "#3100ff", "#3700ff", "#3d00ff", "#4300ff", "#4900ff", + "#4f00ff", "#5400ff", "#5a00ff", "#6000ff", "#6600ff", "#6c00ff", + "#7200ff", "#7800ff", "#7e00ff", "#8400ff", "#8a00ff", "#9000ff", + "#9500ff", "#9b00ff", "#a100ff", "#a700ff", "#ad00ff", "#b300ff", + "#b900ff", "#bf00ff", "#c500ff", "#cb00ff", "#d000ff", "#d600ff", + "#dc00ff", "#e200ff", "#e800ff", "#ee00ff", "#f400ff", "#f800fd", + "#fa00f9", "#fc00f5", "#fe00f1", "#ff00ed", "#ff00e7", "#ff00e1", + "#ff00db", "#ff00d5", "#ff00cf", "#ff00c9", "#ff00c3", "#ff00bd", + "#ff00b7", "#ff00b1", "#ff00ac", "#ff00a6", "#ff00a0", "#ff009a", + "#ff0094", "#ff008e", "#ff0088", "#ff0082", "#ff007c", "#ff0076", + "#ff0071", "#ff006b", "#ff0065", "#ff005f", "#ff0059", "#ff0053", + "#ff004d", "#ff0047", "#ff0041", "#ff003b", "#ff0035", "#ff0030", + "#ff002a", "#ff0024", "#ff001e", "#ff0018"] + +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/examples/harmonograph/tags.txt b/examples/harmonograph/tags.txt new file mode 100644 index 0000000..fa4a129 --- /dev/null +++ b/examples/harmonograph/tags.txt @@ -0,0 +1,7 @@ +week4 +graphics +animation +function +decomposition +tkinter +beauty diff --git a/examples/harmonograph/title.txt b/examples/harmonograph/title.txt new file mode 100644 index 0000000..13601b9 --- /dev/null +++ b/examples/harmonograph/title.txt @@ -0,0 +1 @@ +Harmonograph From b96a09c7d7b9b9665dee5c55a01ecbdb82214d9c Mon Sep 17 00:00:00 2001 From: Alfred Zong Date: Fri, 8 May 2020 00:51:00 -0400 Subject: [PATCH 3/5] Updated the harmonograph animation example in Harmonograph --- en/harmonograph/harmonograph.gif | Bin 2577850 -> 1439084 bytes en/harmonograph/index.html | 2 +- examples/harmonograph/harmonograph.gif | Bin 2577850 -> 1439084 bytes examples/harmonograph/index.html | 2 +- 4 files changed, 2 insertions(+), 2 deletions(-) diff --git a/en/harmonograph/harmonograph.gif b/en/harmonograph/harmonograph.gif index a6a93448406acfd8e24bf67224186ece00eb232c..5cb8993b1a031d5abbe04200a4d11e8319e9c792 100644 GIT binary patch literal 1439084 zcmb@uXH=8zx-R-c0)~)4LJd7YK)N((ilz~YbdWC6s|Ap*Vj!Wn(2?GY6hl!!Q7NH{ z3J3~{NK+}ISWv{mM!#?F`OUS?-s7xs&JRY$;Afuex$mnz(KjS%X}kUaegIzqz|x}B z%Cg!*FYkn2UW1hZ-Oi-J+UTaY<=tS{T4TLp96nc*kfm|FjAWdnsh_AoNK(>IP&gJT zp%)>J^+926cyZnWdKTQrOp)65!ur8V7I>u21&mQJTK@=#x+)u(!^GI!&p(jSH&j+xtEGK3JTxMKn&foKE#h)C zIf|llT(79GOh#Uj7bR?NW<#aK-{~DxI;3W1WeWhHprBA5ZWI%kL+dDhbmZZq2UFCT zL|SffdEIplE~BHoW;SkTGb)-g>pPN*8m?rPpT0n0Mu-O{z(mAWohNNLNgl!DEUblx%URfu22%{={JuO4YP|Yy6z781cn7hQp_FQN~)V> zlr`=Qj?-^58oPR&{VtR=w1MILK4H<7tv%Q8JV-9AL`kdGv@-&uQ_xCU@;dtANx543 z)-a)i_>=Cwmy=KWgrrrpSGSLtoDQTl^h6gnUCFwpZRCPh(+^9naPp^m1t-a4ZLR%c 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